Intrinsic pseudo-differential calculi on any compact Lie group

摘要

In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) Hormander pseudo-differential calculus on the group viewed as a compact manifold. (C) 2015 The Author. Published by Elsevier Inc.